7 Unit 2 Test Review

Exponents

100

8^-2

1/64

200

(x⁵)(x³)(x^-2)

x⁶

300

(x⁴y⁷)/(x³y)

xy⁶

400

(3x⁴)²

9x⁸

500

(-2a⁴b²)³

-8a¹²b⁶

Scientific Notation

100

Write in scientific notation.

34,000,000

3.4 x 10⁷

200

Write in standard form.

-4.5 x 10⁵

-450,000

300

Write in scientific notation.

0.000078

7.8 x 10^-5

400

Multiply. Write your answer in scientific notation.

(2.3 x 10⁵)(6.4 x 10⁷)

1.472 x 10¹³

500

Divide. Write your answer in scientific notation.

(2 x 10⁷)/(5 x 10⁴)

4 x 10²

Radicals

100

Simplify.

Sq rt 63

3 radical 7

200

Simplify.

Sq rt 44

2 radical 11

300

Simplify.

5 radical 28

10 radical 7

400

What 2 numbers does radical 74 fall between?

8 and 9

500

Simplify.

4 radical 32 + 3 radical 18

25 radical 2

Pythagorean Theorem

100

Find the missing side of the right triangle. Round your answer to the nearest tenth.

a = 9, b = 15, c = ?

17.5

200

Find the missing side of the right triangle. Round your answer to the nearest tenth.

a = ?, b = 2.1, c = 7.5

7.2

300

The base of a 24-foot ladder is placed 8 feet from a wall. To the nearest tenth of a foot, how far up the wall does the ladder reach?

22.6 ft

400

A play area is 20 meters long and 21 meters wide. How long is the walk that extends diagonally across the play area?

29 m

500

An automobile traveled 21 miles north from the airport. It then turned directly west and traveled 28 miles. How far is the automobile from the airport?

35 mi

Real Number Properties

100

Find the distance between 7.039 and -7.4

14.44

200

Find the midpoint between 7.089 and 7 9/100

7.0895

300

Order from least to greatest.

radical 12, radical 29, 3.8, pi, 4.9

pi, radical 12, 3.8, 4.9, radical 29

400

Name the property shown.

(-2.5 - 7)(-3) = (-2.5)(-3) - 7(-3)

Distributive

500

Julia wants 1/3 of her 90 ceiling tiles replaced. The cost will be $2.69 per tile. What will be the total cost for the job?

$80.70